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Finding the Fourth Proportional to 1,095.66, 1,643.63 and 446.31

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Solution

The fourth proportional to 1,095.66, 1,643.63 and 446.31 is: 669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.66 : 1,643.63 = 446.31 : x
  2. Step 2: Convert to fraction form
    1,095.66/1,643.63 = 446.31/x
  3. Step 3: Cross multiply
    1,095.66x = 1,643.63 × 446.31
  4. Step 4: Simplify right side
    1,095.66x = 733,566.27
  5. Step 5: Solve for x
    x = 733,566.27/1,095.66
  6. Step 6: Final answer
    x = 669.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.